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Simplifying 9(x + -1) + -2(2x + 1) = 3(3x + -6) + 24 Reorder the terms: 9(-1 + x) + -2(2x + 1) = 3(3x + -6) + 24 (-1 * 9 + x * 9) + -2(2x + 1) = 3(3x + -6) + 24 (-9 + 9x) + -2(2x + 1) = 3(3x + -6) + 24 Reorder the terms: -9 + 9x + -2(1 + 2x) = 3(3x + -6) + 24 -9 + 9x + (1 * -2 + 2x * -2) = 3(3x + -6) + 24 -9 + 9x + (-2 + -4x) = 3(3x + -6) + 24 Reorder the terms: -9 + -2 + 9x + -4x = 3(3x + -6) + 24 Combine like terms: -9 + -2 = -11 -11 + 9x + -4x = 3(3x + -6) + 24 Combine like terms: 9x + -4x = 5x -11 + 5x = 3(3x + -6) + 24 Reorder the terms: -11 + 5x = 3(-6 + 3x) + 24 -11 + 5x = (-6 * 3 + 3x * 3) + 24 -11 + 5x = (-18 + 9x) + 24 Reorder the terms: -11 + 5x = -18 + 24 + 9x Combine like terms: -18 + 24 = 6 -11 + 5x = 6 + 9x Solving -11 + 5x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -11 + 5x + -9x = 6 + 9x + -9x Combine like terms: 5x + -9x = -4x -11 + -4x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -11 + -4x = 6 + 0 -11 + -4x = 6 Add '11' to each side of the equation. -11 + 11 + -4x = 6 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = 6 + 11 -4x = 6 + 11 Combine like terms: 6 + 11 = 17 -4x = 17 Divide each side by '-4'. x = -4.25 Simplifying x = -4.25
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